The purchase price of a coupon bond

A) is higher than its face value if, and only if, its coupon rate is higher than its yield to maturity on the coupon date

B) is always higher than its face value

C) is higher than its face value if, and only if, its coupon rate is lower than its yield to maturity on the coupon date

D) is lower than its face value if, and only if, its coupon rate is higher than its yield to maturity on the coupon date